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Finding the Fourth Proportional to 537,307.98, 805,962.51 and 200,343.48

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Solution

The fourth proportional to 537,307.98, 805,962.51 and 200,343.48 is: 300,515.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,307.98 : 805,962.51 = 200,343.48 : x
  2. Step 2: Convert to fraction form
    537,307.98/805,962.51 = 200,343.48/x
  3. Step 3: Cross multiply
    537,307.98x = 805,962.51 × 200,343.48
  4. Step 4: Simplify right side
    537,307.98x = 161,469,334,002.94
  5. Step 5: Solve for x
    x = 161,469,334,002.94/537,307.98
  6. Step 6: Final answer
    x = 300,515.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.